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Finding the Third Proportional to 576,807.75 and 895,434.75

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Solution

The third proportional to 576,807.75 and 895,434.75 is: 1,390,070.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,807.75 : 895,434.75 = 895,434.75 : x
  2. Step 2: Convert to fraction form
    576,807.75/895,434.75 = 895,434.75/x
  3. Step 3: Cross multiply
    576,807.75x = 895,434.75 × 895,434.75
  4. Step 4: Simplify right side
    576,807.75x = 801,803,391,507.56
  5. Step 5: Solve for x
    x = 801,803,391,507.56/576,807.75
  6. Step 6: Final answer
    x = 1,390,070.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.